Tính nhanh:
a)\(A=\frac{423134\times846267-423133}{423133\times846267+423134}\)
b)\(B=\frac{2\times2014\times2015-2013}{2\times2013\times2014+6043}\)
c)\(C=\frac{2\times2014\times2016+3}{2\times2015\times2016-4029}\)
d)\(D=\frac{2010\times3020-1000}{1010+2010\times3019}\)
e)\(E=\frac{2013\times1955-1911}{2013\times1954+102}\)
g)\(G=\frac{1945\times1976-2013}{2\times1945\times1975-136}\)
h)\(H=\frac{2\times1890\times1969+158}{9\times1890\times1945+9\times24\times1890+711}\)
cho tỉ lệ thức\(\frac{a}{b}=\frac{c}{d}\)chứng minh \(\frac{2.a^{2013}+5.b^{2013}}{2.c^{2013}+5.d^{2013}}=\frac{\left(a+b\right)^{2013}}{\left(c+d\right)^{2013}}\)ghi cách giải lớp 7, dễ hiểu (ai nhanh thì tk)
a, cho day ti so bang nhau : \(\frac{2a+b+c+d}{a}=\frac{a+2b+c+d}{b}=\frac{a+b+2c+d}{c}=\frac{a+b+c+2d}{d}\)
tinh gia tri bieu thuc M: \(\frac{a+b}{c+d}+\frac{b+c}{d+a}+\frac{c+d}{a+b}+\frac{d+a}{b+c}\)
b,cho x= \(1+\frac{1}{2013}+\frac{1}{2013^2}+\frac{1}{2013^3}+....+\frac{1}{2013^{2013}}\)
tinh gia tri bieu thuc: S= (2012x+\(\frac{1}{2013^{2013}}\)) : 2013^2014
Tính\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2013}}{2012+\frac{2012}{2}+\frac{2011}{3}+\frac{2010}{4}+...+\frac{1}{2013}}\)
\(ChoA=\frac{2013}{2}+\frac{2013}{3}+\frac{2013}{4}+...+\frac{2013}{2013}\) và B=\(\frac{2013}{1}+\frac{2012}{2}+\frac{2011}{3}+...+\frac{1}{2013}\)Tính\(\frac{A}{B}\)
tính GTBT D=\(\frac{\frac{2013}{2}+\frac{2013}{3}+\frac{2013}{4}+...+\frac{2013}{2014}}{\frac{2013}{1}+\frac{2012}{2}+\frac{2011}{3}+...+\frac{1}{2013}}\)
bài1)tính: \(A=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2014}}{2013+\frac{2013}{2}+\frac{2012}{3}+...+\frac{1}{2014}}\)
bài 2) cho\(\frac{a}{b}< \frac{c}{d}\) và\(b;d>0\)
CHỨNG MINH RẰNG: \(\frac{a}{b}< \frac{a+c}{b+d}< \frac{c}{d}\)
CÁC BẠN GIÚP CHI NHÉ!!!!! MINK SE LIKE CHO!!!
cho \(\frac{a}{b}=\frac{c}{d}\) CM \(\frac{a^{2013}}{c^{2013}}=\frac{b^{2013}}{d^{2013}}=\left(\frac{a-b}{c-d}\right)^{2013}\)
Tìm x bt: \(\frac{x-1}{2013}+\frac{x-2}{2013}=\frac{x-3}{2011}+\frac{x-4}{2010}\)
help vs
Tính giá trị của Biểu thức sau
B=\(\frac{423134\times8426267-423133}{423133\times8426267-423134}\)
